{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['font.sans-serif']=['Times New Roman']\n",
    "fig = plt.figure(figsize=(6, 4), dpi=600)\n",
    "Scores = [0.5287,0.57307,0.509759,0.52364,0.50409,0.41856,0.41703,0.40904,0.40113,0.40044,0.39888,\n",
    "         0.39270,0.391788,0.38918,0.38517,0.38548,0.38137] \n",
    "X = range(2,19)  \n",
    "plt.xlabel('$k$')  \n",
    "plt.ylabel('Silhouette Coefficient')  \n",
    "plt.plot(X,Scores,'o-') \n",
    "plt.show()  "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
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